Note on the 2-component Analogue of 2-dimensional Long Wave-Short Wave Resonance Interaction System
Ken-ichi Maruno, Yasuhiro Ohta, Masayuki Oikawa
TL;DR
This paper investigates an integrable two-component 2D long wave-short wave resonance system, providing explicit solutions and exploring a special case relevant to fluid dynamics.
Contribution
It introduces a new integrable 2-component 2D resonance system, derives Wronskian solutions, and analyzes a reduced model for fluid wave interactions.
Findings
Explicit Wronskian solutions for the system
Identification of a reduced model for fluid wave interactions
Insights into resonance phenomena in layered fluids
Abstract
An integrable two-component analogue of the two-dimensional long wave-short wave resonance interaction (2c-2d-LSRI) system is studied. Wronskian solutions of 2c-2d-LSRI system are presented. A reduced case, which describes resonant interaction between an interfacial wave and two surface wave packets in a two layer fluid, is also discussed.
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Taxonomy
TopicsOcean Waves and Remote Sensing · Coastal and Marine Dynamics · Oceanographic and Atmospheric Processes